If total items sold by shop F is average number of items sold by A and B and out of that 30% are blue balls, then find the red balls sold by F.

The data in the table shows the average number of items (Red and Blue balls) sold by five shops and percentage of red balls sold.

Shops	Average number of items (Red and blue balls) sold	Percentage of red balls sold
A	50	25%
B	30	20%
C	25	20%
D	25	54%
E	35	51$\frac{3}{7}$%

The correct answer is 56.

Step-by-step Explanation:

1. Understand the given table data:
The table provides the "Average number of items (Red and blue balls) sold" for each shop. Since there are two types of items (Red balls and Blue balls), the total number of items sold by a shop is twice the average value given in the table.
$\text{Total items sold}=2\times \text{Average number of items sold}$

2. Calculate the total items sold by Shop A and Shop B:
For Shop A, the average number of items sold is 50.
$\text{Total items sold by A}=2\times 50=100$
For Shop B, the average number of items sold is 30.
$\text{Total items sold by B}=2\times 30=60$

3. Find the total items sold by Shop F:
We are given that the total items sold by Shop F is the average of the total number of items sold by Shop A and Shop B.
$\text{Total items sold by F}=\frac{100+60}{2}=\frac{160}{2}=80$

4. Determine the number of red balls sold by Shop F:
Out of the total items sold by Shop F, 30% are blue balls. Therefore, the percentage of red balls sold by Shop F is:
$100\%-30\%=70\%$
Now, we calculate the absolute number of red balls sold by Shop F:
$\text{Red balls sold by F}=70\%\text{of}80=\frac{70}{100}\times 80=56$

Thus, the number of red balls sold by shop F is 56.